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- Question
- The sum of two number is 29 and the difference of their squares is 145. The difference between the number is?
Options- A. 13
- B. 5
- C. 8
- D. 11
- Correct Answer
- 5
ExplanationLet the number be a and b
Then, (a-b) = (a2 - b2) / a+b
= 145/29
= 5 - 1. The difference of two number is 8 and 1/8th of their sum is 35. The number are?
Options- A. 132, 140
- B. 128, 136
- C. 124, 132
- D. 136, 144 Discuss
- 2. The sum of two number is 100 and their difference is 37. The difference of their squares is?
Options- A. 37
- B. 100
- C. 63
- D. 3700 Discuss
- 3. The ratio between two numbers is 3:4 and their sum is 420. The greater of two number is?
Options- A. 175
- B. 200
- C. 240
- D. 315 Discuss
- 4. The difference between the squares of two consecutive number is 35. The number are?
Options- A. 14, 15
- B. 15, 16
- C. 17, 18
- D. 18, 19 Discuss
- 5. Three fourth of one-fifth of a number is 60. The number is?
Options- A. 300
- B. 400
- C. 450
- D. 1200 Discuss
- 6. The difference of two number is 5 and the difference of their squares is 135. The sum of the number is?
Options- A. 27
- B. 25
- C. 30
- D. 32 Discuss
- 7. If 1 is added to the denominator of fraction, the fraction becomes 1/2. If 1 is added to the numerator, the fraction becomes 1. The fraction is?
Options- A. 4/7
- B. 5/9
- C. 2/3
- D. 10/11 Discuss
- 8. 4/5 of a number exceeds its 2/3 by 8. The number is?
Options- A. 30
- B. 60
- C. 90
- D. None of these Discuss
- 9. If one-fourth of one-third of one-half of a number is 15, the number is?
Options- A. 72
- B. 120
- C. 180
- D. 360 Discuss
- 10. A number whose fifth part increased by 5 is equal to its fourth part diminished by 5 is?
Options- A. 160
- B. 180
- C. 200
- D. 220 Discuss
Number System problems
Search Results
Correct Answer: 136, 144
Explanation:
Let the number be x and (x + 8)
Then, 1/8[x + (x + 8)] = 35
? 2x + 8 = 280
? 2x = 270
? x = 136
So, the number are 136 and 144.
Correct Answer: 3700
Explanation:
Let the numbers be a and b.
Then, a + b = 100 and a - b = 37
? a2 - b2 = (a+b) (a-b)
= 100 x 37
= 3700
Correct Answer: 240
Explanation:
Let the number be 3N and 4N.
Then, 3N + 4N = 420
? 7N = 420
? N = 60
? Greater number = 4 x 60 = 240
Correct Answer: 17, 18
Explanation:
Let the two number be x and (x + 1)
Then, (x+1)2 - x2 = 35
? 2x = 34
? x = 17
So, the number are 17 and 18
Correct Answer: 400
Explanation:
Let the required number be N.
So 3/4 x 1/5 x N = 60
? 3N / 20 = 60
? N = 400
Correct Answer: 27
Explanation:
Let the number be a and b.
Then, (a + b) = (a2 -b2) / (a-b)
= 135/5
= 27
Correct Answer: 2/3
Explanation:
Let the required fraction be x/y
Then, x/(y + 1) = 1/2
? 2x - y = 1 ...(1)
(x + 1) / y = 1
? x - y = -1 ...(2)
Solving Eq. (1) and (2)
We get x = 2, y = 3
? The fraction is 2/3
Correct Answer: 60
Explanation:
Let the number be x,
Then, 4x/5 - 2x/3 = 8
? (12x - 10x) / 15 = 8
? 2x = 120
? x = 60
Correct Answer: 360
Explanation:
Let the number be N .
Then, 1/4 of 1/3 of 1/2 of N = 15
? 1/4 x 1/3 x 1/2 x N = 15
? N/24 = 15
? N = 24 x 15 = 360 .
Correct Answer: 200
Explanation:
Let the number be N.
Then, (N/5) + 5 = (N/4) - 5
? (N/4) - (N/5) = 10
? (5N - 4N)/20 = 10
? N = 200
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